How do you solve #Ln(5x-4)=ln2+ln(x+1)#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Cesareo R. May 13, 2016 #x=2# Explanation: Taking #ln(5x-4) = ln(2)+ln(x+1)# or equivalently #ln(5x-4)-ln(2*(x+1))=0# or #ln[(5x-4)/(2(x+1))]= ln(1)# then results in #(5x-4)/(2(x+1))=1# or #5x-4=2(x+1)# and finally #x = 2# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 2715 views around the world You can reuse this answer Creative Commons License